Information on Result #927430
Linear OOA(984, 88, F9, 2, 52) (dual of [(88, 2), 92, 53]-NRT-code), using construction X applied to AG(2;F,93P) ⊂ AG(2;F,108P) based on
- linear OOA(969, 73, F9, 2, 52) (dual of [(73, 2), 77, 53]-NRT-code), using algebraic-geometric NRT-code AG(2;F,93P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(954, 73, F9, 2, 37) (dual of [(73, 2), 92, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,108P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(915, 15, F9, 2, 14) (dual of [(15, 2), 15, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(915, 16, F9, 2, 14) (dual of [(16, 2), 17, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,17P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(915, 16, F9, 2, 14) (dual of [(16, 2), 17, 15]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(984, 44, F9, 3, 52) (dual of [(44, 3), 48, 53]-NRT-code) | [i] | OOA Folding |